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2042460072 = 233261465041
BaseRepresentation
bin111100110111101…
…0111011110101000
312021100020201111100
41321233113132220
513140332210242
6534401001400
7101420424042
oct17157273650
95240221440
102042460072
11958a08534
12490023260
132671c2873
1415538ca92
15be49d54c
hex79bd77a8

2042460072 has 48 divisors (see below), whose sum is σ = 5622357780. Its totient is φ = 669657600.

The previous prime is 2042460071. The next prime is 2042460073. The reversal of 2042460072 is 2700642402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042460071) and next prime (2042460073).

It can be written as a sum of positive squares in 2 ways, for example, as 1370924676 + 671535396 = 37026^2 + 25914^2 .

It is not an unprimeable number, because it can be changed into a prime (2042460071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228129 + ... + 236912.

Almost surely, 22042460072 is an apocalyptic number.

It is an amenable number.

2042460072 is an abundant number, since it is smaller than the sum of its proper divisors (3579897708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2042460072 is a wasteful number, since it uses less digits than its factorization.

2042460072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465114 (or 465107 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2042460072 is about 45193.5844119494. The cubic root of 2042460072 is about 1268.7747440570.

The spelling of 2042460072 in words is "two billion, forty-two million, four hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 465041 930082 1395123 1860164 2790246 3720328 4185369 5580492 8370738 11160984 16741476 28367501 33482952 56735002 85102503 113470004 170205006 226940008 255307509 340410012 510615018 680820024 1021230036 2042460072